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Three-Piece Hexagonal Tessellation

Three-Piece Hexagonal Tessellation
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2014-07-08 00:45
PolygonVectorGeometric Construction
This example demonstrates the construction and visual effect of a three-piece hexagonal tessellation. Core math concepts include polygon construction, vector operations, and translation transformations. Key construction steps involve using GeoGebra commands like Vector, Translate, and Polygon to combine and transform shapes. Suitable for high school and above students to understand spatial geometry and tessellation patterns.

GeoGebra Commands & Parameters

  1. Vector(B, D) → w
  2. Vector(A, F) → u
  3. Vector(A, E) → v
  4. Translate(H, w) → H'
  5. Translate(I, w) → I'
  6. Translate(J, w) → J'
  7. Translate(M, u) → M'
  8. Translate(N, u) → N'
  9. Translate(O, u) → O'
  10. Translate(P, v) → P'
  11. Translate(Q, v) → Q'
  12. Translate(R, v) → R'
  13. Polygon(A, M, U, C, L, K, N, O, B, H, I, J, E, V) → poly1, a, v_1, u_1, c, l, k, m, n, o, b, h, i, j, d
  14. Polygon(A, K, D, R, Q, P, L, C, T, S, F, J', I', H') → poly2, e, k_1, l_1, e_6, g_6, h_6, f, p, q, r, s, t, a_1, c_1
  15. Polygon(E, P', T, C, U, V, Q', R', G, O', N', M', F, S) → poly3, d_1, s_1, t_1, c_2, u_2, v_2, p', q', r', g, o', n', m', f_1
  16. Translate(A, u) → A'
  17. Translate(M, u) → M'_1
  18. Translate(N, u) → N'_1
  19. Translate(O, u) → O'_1
  20. Translate(B, u) → B'
  21. Translate(H, u) → H'_1
  22. Translate(I, u) → I'_1
  23. Translate(J, u) → J'_1
  24. Translate(E, u) → D'
  25. Translate(V, u) → V'
  26. Translate(U, u) → U'
  27. Translate(C, u) → C'
  28. Translate(L, u) → L'
  29. Translate(K, u) → K'
  30. Polygon(A', M'_1, U', C', L', K', N'_1, O'_1, B', H'_1, I'_1, J'_1, D', V') → poly1', a', v', u', c', l', k', m'_1, n'_1, o'_1, b', h'_1, i'_1, j'_1, d'
  31. Translate(E, u) → D'_1
  32. Translate(P', u) → P''
  33. Translate(Q', u) → Q''
  34. Translate(R', u) → R''
  35. Translate(G, u) → G'
  36. Translate(O', u) → O''
  37. Translate(N', u) → N''
  38. Translate(M', u) → M''
  39. Translate(F, u) → F'
  40. Translate(S, u) → S'
  41. Translate(T, u) → T'
  42. Translate(C, u) → C'_1
  43. Translate(U, u) → U'_1
  44. Translate(V, u) → V'_1
  45. Polygon(D'_1, P'', T', C'_1, U'_1, V'_1, Q'', R'', G', O'', N'', M'', F', S') → poly3', d'_1, s', t', c'_1, u'_1, v'_1, p'', q'', r'', g', o'', n'', m'', f'
  46. Translate(A, u) → A'_1
  47. Translate(K, u) → K'_1
  48. Translate(L, u) → L'_1
  49. Translate(C, u) → C'_2
  50. Translate(T, u) → T'_1
  51. Translate(S, u) → S'_1
  52. Translate(F, u) → F'_1
  53. Translate(I', u) → I''
  54. Translate(H', u) → H''
  55. Translate(D, u) → E'
  56. Translate(R, u) → R'_1
  57. Translate(Q, u) → Q'_1
  58. Translate(P, u) → P'_1
  59. Translate(A, v) → A'_2
  60. Translate(M, v) → M'_2
  61. Translate(N, v) → N'_2
  62. Translate(O, v) → O'_2
  63. Translate(B, v) → B'_1
  64. Translate(H, v) → H'_2
  65. Translate(I, v) → I'_2
  66. Translate(J, v) → J'_2
  67. Translate(E, v) → D'_2
  68. Translate(V, v) → V'_2
  69. Translate(U, v) → U'_2
  70. Translate(C, v) → C'_3
  71. Translate(L, v) → L'_2
  72. Translate(K, v) → K'_2
  73. Polygon(A'_2, M'_2, U'_2, C'_3, L'_2, K'_2, N'_2, O'_2, B'_1, H'_2, I'_2, J'_2, D'_2, V'_2) → poly1'_1, a'_2, v'_2, u'_2, c'_3, l'_2, k'_2, m'_2, n'_2, o'_2, b'_1, h'_2, i'_2, j'_2, d'_2
  74. Translate(E, v) → D'_3
  75. Translate(P', v) → P''_1
  76. Translate(Q', v) → Q''_1
  77. Translate(R', v) → R''_1
  78. Translate(G, v) → G'_1
  79. Translate(O', v) → O''_1
  80. Translate(N', v) → N''_1
  81. Translate(M', v) → M''_1
  82. Translate(F, v) → F'_2
  83. Translate(S, v) → S'_2
  84. Translate(T, v) → T'_2
  85. Translate(C, v) → C'_4
  86. Translate(U, v) → U'_3
  87. Translate(V, v) → V'_3
  88. Polygon(D'_3, P''_1, T'_2, C'_4, U'_3, V'_3, Q''_1, R''_1, G'_1, O''_1, N''_1, M''_1, F'_2, S'_2) → poly3'_1, d'_3, s'_2, t'_2, c'_4, u'_3, v'_3, p''_1, q''_1, r''_1, g'_1, o''_1, n''_1, m''_1, f'_2
  89. Translate(A, v) → A'_3
  90. Translate(K, v) → K'_3
  91. Translate(L, v) → L'_3
  92. Translate(C, v) → C'_5
  93. Translate(T, v) → T'_3
  94. Translate(S, v) → S'_3
  95. Translate(F, v) → F'_3
  96. Translate(I', v) → I''_1
  97. Translate(H', v) → H''_1
  98. Translate(D, v) → E'_1
  99. Translate(R, v) → R'_2
  100. Translate(Q, v) → Q'_2
  101. Translate(P, v) → P'_2
  102. Translate(A, w) → A'_4
  103. Translate(M, w) → M'_3
  104. Translate(N, w) → N'_3
  105. Translate(O, w) → O'_3
  106. Translate(B, w) → B'_2
  107. Translate(H, w) → H'_3
  108. Translate(I, w) → I'_3
  109. Translate(J, w) → J'_3
  110. Translate(E, w) → D'_4
  111. Translate(V, w) → V'_4
  112. Translate(U, w) → U'_4
  113. Translate(C, w) → C'_6
  114. Translate(L, w) → L'_4
  115. Translate(K, w) → K'_4
  116. Polygon(A'_4, M'_3, U'_4, C'_6, L'_4, K'_4, N'_3, O'_3, B'_2, H'_3, I'_3, J'_3, D'_4, V'_4) → poly1'_2, a'_4, v'_4, u'_4, c'_6, l'_4, k'_4, m'_3, n'_3, o'_3, b'_2, h'_3, i'_3, j'_3, d'_4
  117. Translate(A, w) → A'_5
  118. Translate(K, w) → K'_5
  119. Translate(L, w) → L'_5
  120. Translate(C, w) → C'_7
  121. Translate(T, w) → T'_4
  122. Translate(S, w) → S'_4
  123. Translate(F, w) → F'_4
  124. Translate(I', w) → I''_2
  125. Translate(H', w) → H''_2
  126. Translate(D, w) → E'_2
  127. Translate(R, w) → R'_3
  128. Translate(Q, w) → Q'_3
  129. Translate(P, w) → P'_3
  130. Translate(E, w) → D'_5
  131. Translate(P', w) → P''_2
  132. Translate(Q', w) → Q''_2
  133. Translate(R', w) → R''_2
  134. Translate(G, w) → G'_2
  135. Translate(O', w) → O''_2
  136. Translate(N', w) → N''_2
  137. Translate(M', w) → M''_2
  138. Translate(F, w) → F'_5
  139. Translate(S, w) → S'_5
  140. Translate(T, w) → T'_5
  141. Translate(C, w) → C'_8
  142. Translate(U, w) → U'_5
  143. Translate(V, w) → V'_5
  144. Polygon(D'_5, P''_2, T'_5, C'_8, U'_5, V'_5, Q''_2, R''_2, G'_2, O''_2, N''_2, M''_2, F'_5, S'_5) → poly3'_2, d'_5, s'_5, t'_5, c'_8, u'_5, v'_5, p''_2, q''_2, r''_2, g'_2, o''_2, n''_2, m''_2, f'_5
  145. Translate(A, Vector[(-u)]) → A'_6
  146. Translate(M, Vector[(-u)]) → M'_4
  147. Translate(N, Vector[(-u)]) → N'_4
  148. Translate(O, Vector[(-u)]) → O'_4
  149. Translate(B, Vector[(-u)]) → B'_3
  150. Translate(H, Vector[(-u)]) → H'_4
  151. Translate(I, Vector[(-u)]) → I'_4
  152. Translate(J, Vector[(-u)]) → J'_4
  153. Translate(E, Vector[(-u)]) → D'_6
  154. Translate(V, Vector[(-u)]) → V'_6
  155. Translate(U, Vector[(-u)]) → U'_6
  156. Translate(C, Vector[(-u)]) → C'_9
  157. Translate(L, Vector[(-u)]) → L'_6
  158. Translate(K, Vector[(-u)]) → K'_6
  159. Polygon(A'_6, M'_4, U'_6, C'_9, L'_6, K'_6, N'_4, O'_4, B'_3, H'_4, I'_4, J'_4, D'_6, V'_6) → poly1'_3, a'_6, v'_6, u'_6, c'_9, l'_6, k'_6, m'_4, n'_4, o'_4, b'_3, h'_4, i'_4, j'_4, d'_6
  160. Translate(A, Vector[(-v)]) → A'_7
  161. Translate(M, Vector[(-v)]) → M'_5
  162. Translate(N, Vector[(-v)]) → N'_5
  163. Translate(O, Vector[(-v)]) → O'_5
  164. Translate(B, Vector[(-v)]) → B'_4
  165. Translate(H, Vector[(-v)]) → H'_5
  166. Translate(I, Vector[(-v)]) → I'_5
  167. Translate(J, Vector[(-v)]) → J'_5
  168. Translate(E, Vector[(-v)]) → D'_7
  169. Translate(V, Vector[(-v)]) → V'_7
  170. Translate(U, Vector[(-v)]) → U'_7
  171. Translate(C, Vector[(-v)]) → C'_{10}
  172. Translate(L, Vector[(-v)]) → L'_7
  173. Translate(K, Vector[(-v)]) → K'_7
  174. Polygon(A'_7, M'_5, U'_7, C'_{10}, L'_7, K'_7, N'_5, O'_5, B'_4, H'_5, I'_5, J'_5, D'_7, V'_7) → poly1'_4, a'_7, v'_7, u'_7, c'_{10}, l'_7, k'_7, m'_5, n'_5, o'_5, b'_4, h'_5, i'_5, j'_5, d'_7
  175. Translate(A, Vector[(-w)]) → A'_8
  176. Translate(M, Vector[(-w)]) → M'_6
  177. Translate(N, Vector[(-w)]) → N'_6
  178. Translate(O, Vector[(-w)]) → O'_6
  179. Translate(B, Vector[(-w)]) → B'_5
  180. Translate(H, Vector[(-w)]) → H'_6
  181. Translate(I, Vector[(-w)]) → I'_6
  182. Translate(J, Vector[(-w)]) → J'_6
  183. Translate(E, Vector[(-w)]) → D'_8
  184. Translate(V, Vector[(-w)]) → V'_8
  185. Translate(U, Vector[(-w)]) → U'_8
  186. Translate(C, Vector[(-w)]) → C'_{11}
  187. Translate(L, Vector[(-w)]) → L'_8
  188. Translate(K, Vector[(-w)]) → K'_8
  189. Polygon(A'_8, M'_6, U'_8, C'_{11}, L'_8, K'_8, N'_6, O'_6, B'_5, H'_6, I'_6, J'_6, D'_8, V'_8) → poly1'_5, a'_8, v'_8, u'_8, c'_{11}, l'_8, k'_8, m'_6, n'_6, o'_6, b'_5, h'_6, i'_6, j'_6, d'_8
  190. Translate(A, Vector[(-v)]) → A'_9
  191. Translate(K, Vector[(-v)]) → K'_9
  192. Translate(L, Vector[(-v)]) → L'_9
  193. Translate(C, Vector[(-v)]) → C'_{12}
  194. Translate(T, Vector[(-v)]) → T'_6
  195. Translate(S, Vector[(-v)]) → S'_6
  196. Translate(F, Vector[(-v)]) → F'_6
  197. Translate(I', Vector[(-v)]) → I''_3
  198. Translate(H', Vector[(-v)]) → H''_3
  199. Translate(D, Vector[(-v)]) → E'_3
  200. Translate(R, Vector[(-v)]) → R'_4
  201. Translate(Q, Vector[(-v)]) → Q'_4
  202. Translate(P, Vector[(-v)]) → P'_4
  203. Translate(A, Vector[(-u)]) → A'_{10}
  204. Translate(K, Vector[(-u)]) → K'_{10}
  205. Translate(L, Vector[(-u)]) → L'_{10}
  206. Translate(C, Vector[(-u)]) → C'_{13}
  207. Translate(T, Vector[(-u)]) → T'_7
  208. Translate(S, Vector[(-u)]) → S'_7
  209. Translate(F, Vector[(-u)]) → F'_7
  210. Translate(I', Vector[(-u)]) → I''_4
  211. Translate(H', Vector[(-u)]) → H''_4
  212. Translate(D, Vector[(-u)]) → E'_4
  213. Translate(R, Vector[(-u)]) → R'_5
  214. Translate(Q, Vector[(-u)]) → Q'_5
  215. Translate(P, Vector[(-u)]) → P'_5
  216. Translate(A, Vector[(-w)]) → A'_{11}
  217. Translate(K, Vector[(-w)]) → K'_{11}
  218. Translate(L, Vector[(-w)]) → L'_{11}
  219. Translate(C, Vector[(-w)]) → C'_{14}
  220. Translate(T, Vector[(-w)]) → T'_8
  221. Translate(S, Vector[(-w)]) → S'_8
  222. Translate(F, Vector[(-w)]) → F'_8
  223. Translate(I', Vector[(-w)]) → I''_5
  224. Translate(H', Vector[(-w)]) → H''_5
  225. Translate(D, Vector[(-w)]) → E'_5
  226. Translate(R, Vector[(-w)]) → R'_6
  227. Translate(Q, Vector[(-w)]) → Q'_6
  228. Translate(P, Vector[(-w)]) → P'_6
  229. Translate(E, Vector[(-v)]) → D'_9
  230. Translate(P', Vector[(-v)]) → P''_3
  231. Translate(Q', Vector[(-v)]) → Q''_3
  232. Translate(R', Vector[(-v)]) → R''_3
  233. Translate(G, Vector[(-v)]) → G'_3
  234. Translate(O', Vector[(-v)]) → O''_3
  235. Translate(N', Vector[(-v)]) → N''_3
  236. Translate(M', Vector[(-v)]) → M''_3
  237. Translate(F, Vector[(-v)]) → F'_9
  238. Translate(S, Vector[(-v)]) → S'_9
  239. Translate(T, Vector[(-v)]) → T'_9
  240. Translate(C, Vector[(-v)]) → C'_{15}
  241. Translate(U, Vector[(-v)]) → U'_9
  242. Translate(V, Vector[(-v)]) → V'_9
  243. Polygon(D'_9, P''_3, T'_9, C'_{15}, U'_9, V'_9, Q''_3, R''_3, G'_3, O''_3, N''_3, M''_3, F'_9, S'_9) → poly3'_3, d'_9, s'_9, t'_9, c'_{15}, u'_9, v'_9, p''_3, q''_3, r''_3, g'_3, o''_3, n''_3, m''_3, f'_9
  244. Translate(E, Vector[(-u)]) → D'_{10}
  245. Translate(P', Vector[(-u)]) → P''_4
  246. Translate(Q', Vector[(-u)]) → Q''_4
  247. Translate(R', Vector[(-u)]) → R''_4
  248. Translate(G, Vector[(-u)]) → G'_4
  249. Translate(O', Vector[(-u)]) → O''_4
  250. Translate(N', Vector[(-u)]) → N''_4
  251. Translate(M', Vector[(-u)]) → M''_4
  252. Translate(F, Vector[(-u)]) → F'_{10}
  253. Translate(S, Vector[(-u)]) → S'_{10}
  254. Translate(T, Vector[(-u)]) → T'_{10}
  255. Translate(C, Vector[(-u)]) → C'_{16}
  256. Translate(U, Vector[(-u)]) → U'_{10}
  257. Translate(V, Vector[(-u)]) → V'_{10}
  258. Polygon(D'_{10}, P''_4, T'_{10}, C'_{16}, U'_{10}, V'_{10}, Q''_4, R''_4, G'_4, O''_4, N''_4, M''_4, F'_{10}, S'_{10}) → poly3'_4, d'_{10}, s'_{10}, t'_{10}, c'_{16}, u'_{10}, v'_{10}, p''_4, q''_4, r''_4, g'_4, o''_4, n''_4, m''_4, f'_{10}
  259. Translate(E, Vector[(-w)]) → D'_{11}
  260. Translate(P', Vector[(-w)]) → P''_5
  261. Translate(Q', Vector[(-w)]) → Q''_5
  262. Translate(R', Vector[(-w)]) → R''_5
  263. Translate(G, Vector[(-w)]) → G'_5
  264. Translate(O', Vector[(-w)]) → O''_5
  265. Translate(N', Vector[(-w)]) → N''_5
  266. Translate(M', Vector[(-w)]) → M''_5
  267. Translate(F, Vector[(-w)]) → F'_{11}
  268. Translate(S, Vector[(-w)]) → S'_{11}
  269. Translate(T, Vector[(-w)]) → T'_{11}
  270. Translate(C, Vector[(-w)]) → C'_{17}
  271. Translate(U, Vector[(-w)]) → U'_{11}
  272. Translate(V, Vector[(-w)]) → V'_{11}
  273. Polygon(D'_{11}, P''_5, T'_{11}, C'_{17}, U'_{11}, V'_{11}, Q''_5, R''_5, G'_5, O''_5, N''_5, M''_5, F'_{11}, S'_{11}) → poly3'_5, d'_{11}, s'_{11}, t'_{11}, c'_{17}, u'_{11}, v'_{11}, p''_5, q''_5, r''_5, g'_5, o''_5, n''_5, m''_5, f'_{11}
  274. Translate(E, Vector[(-v) - u]) → D'_{12}
  275. Translate(P', Vector[(-v) - u]) → P''_6
  276. Translate(Q', Vector[(-v) - u]) → Q''_6
  277. Translate(R', Vector[(-v) - u]) → R''_6
  278. Translate(G, Vector[(-v) - u]) → G'_6
  279. Translate(O', Vector[(-v) - u]) → O''_6
  280. Translate(N', Vector[(-v) - u]) → N''_6
  281. Translate(M', Vector[(-v) - u]) → M''_6
  282. Translate(F, Vector[(-v) - u]) → F'_{12}
  283. Translate(S, Vector[(-v) - u]) → S'_{12}
  284. Translate(T, Vector[(-v) - u]) → T'_{12}
  285. Translate(C, Vector[(-v) - u]) → C'_{18}
  286. Translate(U, Vector[(-v) - u]) → U'_{12}
  287. Translate(V, Vector[(-v) - u]) → V'_{12}
  288. Polygon(D'_{12}, P''_6, T'_{12}, C'_{18}, U'_{12}, V'_{12}, Q''_6, R''_6, G'_6, O''_6, N''_6, M''_6, F'_{12}, S'_{12}) → poly3'_6, d'_{12}, s'_{12}, t'_{12}, c'_{18}, u'_{12}, v'_{12}, p''_6, q''_6, r''_6, g'_6, o''_6, n''_6, m''_6, f'_{12}
  289. Translate(A'_{10}, Vector[(-w)]) → W
  290. Translate(K'_{10}, Vector[(-w)]) → Z
  291. Translate(L'_{10}, Vector[(-w)]) → A_1
  292. Translate(C'_{13}, Vector[(-w)]) → B_1
  293. Translate(T'_7, Vector[(-w)]) → C_1
  294. Translate(S'_7, Vector[(-w)]) → D_1
  295. Translate(F'_7, Vector[(-w)]) → E_1
  296. Translate(I''_4, Vector[(-w)]) → F_1
  297. Translate(H''_4, Vector[(-w)]) → G_1
  298. Translate(E'_4, Vector[(-w)]) → H_1
  299. Translate(R'_5, Vector[(-w)]) → I_1
  300. Translate(Q'_5, Vector[(-w)]) → J_1
  301. Translate(P'_5, Vector[(-w)]) → K_1
  302. Translate(D'_{12}, Vector[(-w)]) → L_1
  303. Translate(P''_6, Vector[(-w)]) → M_1
  304. Translate(Q''_6, Vector[(-w)]) → N_1
  305. Translate(R''_6, Vector[(-w)]) → O_1
  306. Translate(G'_6, Vector[(-w)]) → P_1
  307. Translate(O''_6, Vector[(-w)]) → Q_1
  308. Translate(N''_6, Vector[(-w)]) → R_1
  309. Translate(M''_6, Vector[(-w)]) → S_1
  310. Translate(F'_{12}, Vector[(-w)]) → T_1
  311. Translate(S'_{12}, Vector[(-w)]) → U_1
  312. Translate(T'_{12}, Vector[(-w)]) → V_1
  313. Translate(C'_{18}, Vector[(-w)]) → W_1
  314. Translate(U'_{12}, Vector[(-w)]) → Z_1
  315. Translate(V'_{12}, Vector[(-w)]) → A_2
  316. Polygon(L_1, M_1, V_1, W_1, Z_1, A_2, N_1, O_1, P_1, Q_1, R_1, S_1, T_1, U_1) → poly5, l_2, u_3, v_3, w_2, z_1, a_3, m_1, n_1, o_1, p_1, q_1, r_1, s_2, t_2
  317. Translate(D'_{10}, Vector[(-w)]) → B_2
  318. Translate(P''_4, Vector[(-w)]) → C_2
  319. Translate(Q''_4, Vector[(-w)]) → D_2
  320. Translate(R''_4, Vector[(-w)]) → E_2
  321. Translate(G'_4, Vector[(-w)]) → F_2
  322. Translate(O''_4, Vector[(-w)]) → G_2
  323. Translate(N''_4, Vector[(-w)]) → H_2
  324. Translate(M''_4, Vector[(-w)]) → I_2
  325. Translate(F'_{10}, Vector[(-w)]) → J_2
  326. Translate(S'_{10}, Vector[(-w)]) → K_2
  327. Translate(T'_{10}, Vector[(-w)]) → L_2
  328. Translate(C'_{16}, Vector[(-w)]) → M_2
  329. Translate(U'_{10}, Vector[(-w)]) → N_2
  330. Translate(V'_{10}, Vector[(-w)]) → O_2
  331. Polygon(B_2, C_2, L_2, M_2, N_2, O_2, D_2, E_2, F_2, G_2, H_2, I_2, J_2, K_2) → poly6, b_2, k_3, l_3, m_2, n_2, o_2, c_4, d_3, e_2, f_3, g_2, h_2, i_2, j_2
  332. Translate(A'_{11}, Vector[(-w)]) → P_2
  333. Translate(K'_{11}, Vector[(-w)]) → Q_2
  334. Translate(L'_{11}, Vector[(-w)]) → R_2
  335. Translate(C'_{14}, Vector[(-w)]) → S_2
  336. Translate(T'_8, Vector[(-w)]) → T_2
  337. Translate(S'_8, Vector[(-w)]) → U_2
  338. Translate(F'_8, Vector[(-w)]) → V_2
  339. Translate(I''_5, Vector[(-w)]) → W_2
  340. Translate(H''_5, Vector[(-w)]) → Z_2
  341. Translate(E'_5, Vector[(-w)]) → A_3
  342. Translate(R'_6, Vector[(-w)]) → B_3
  343. Translate(Q'_6, Vector[(-w)]) → C_3
  344. Translate(P'_6, Vector[(-w)]) → D_3
  345. Translate(A'_3, Vector[(-w)]) → E_3
  346. Translate(K'_3, Vector[(-w)]) → F_3
  347. Translate(L'_3, Vector[(-w)]) → G_3
  348. Translate(C'_5, Vector[(-w)]) → H_3
  349. Translate(T'_3, Vector[(-w)]) → I_3
  350. Translate(S'_3, Vector[(-w)]) → J_3
  351. Translate(F'_3, Vector[(-w)]) → K_3
  352. Translate(I''_1, Vector[(-w)]) → L_3
  353. Translate(H''_1, Vector[(-w)]) → M_3
  354. Translate(E'_1, Vector[(-w)]) → N_3
  355. Translate(R'_2, Vector[(-w)]) → O_3
  356. Translate(Q'_2, Vector[(-w)]) → P_3
  357. Translate(P'_2, Vector[(-w)]) → Q_3
  358. Translate(A', w) → A''
  359. Translate(M'_1, w) → R_3
  360. Translate(N'_1, w) → S_3
  361. Translate(O'_1, w) → T_3
  362. Translate(B', w) → B''
  363. Translate(H'_1, w) → U_3
  364. Translate(I'_1, w) → V_3
  365. Translate(J'_1, w) → W_3
  366. Translate(D', w) → D''
  367. Translate(V', w) → V''
  368. Translate(U', w) → U''
  369. Translate(C', w) → C''
  370. Translate(L', w) → L''
  371. Translate(K', w) → K''
  372. Polygon(A'', R_3, U'', C'', L'', K'', S_3, T_3, B'', U_3, V_3, W_3, D'', V'') → poly1'', a'', v'', u'', c'', l'', k'', r_3, s_4, t_4, b'', u_5, v_5, w_4, d''
  373. Translate(A', v) → A''_1
  374. Translate(M'_1, v) → Z_3
  375. Translate(N'_1, v) → A_4
  376. Translate(O'_1, v) → B_4
  377. Translate(B', v) → B''_1
  378. Translate(H'_1, v) → C_4
  379. Translate(I'_1, v) → D_4
  380. Translate(J'_1, v) → E_4
  381. Translate(D', v) → D''_1
  382. Translate(V', v) → V''_1
  383. Translate(U', v) → U''_1
  384. Translate(C', v) → C''_1
  385. Translate(L', v) → L''_1
  386. Translate(K', v) → K''_1
  387. Polygon(A''_1, Z_3, U''_1, C''_1, L''_1, K''_1, A_4, B_4, B''_1, C_4, D_4, E_4, D''_1, V''_1) → poly1''_1, a''_1, v''_1, u''_1, c''_1, l''_1, k''_1, z_3, a_5, b_4, b''_1, c_6, d_5, e_4, d''_1
  388. Translate(A'_3, v) → F_4
  389. Translate(K'_3, v) → G_4
  390. Translate(L'_3, v) → H_4
  391. Translate(C'_5, v) → I_4
  392. Translate(T'_3, v) → J_4
  393. Translate(S'_3, v) → K_4
  394. Translate(F'_3, v) → L_4
  395. Translate(I''_1, v) → M_4
  396. Translate(H''_1, v) → N_4
  397. Translate(E'_1, v) → O_4
  398. Translate(R'_2, v) → P_4
  399. Translate(Q'_2, v) → Q_4
  400. Translate(P'_2, v) → R_4
  401. Translate(A'_1, v) → S_4
  402. Translate(K'_1, v) → T_4
  403. Translate(L'_1, v) → U_4
  404. Translate(C'_2, v) → V_4
  405. Translate(T'_1, v) → W_4
  406. Translate(S'_1, v) → Z_4
  407. Translate(F'_1, v) → A_5
  408. Translate(I'', v) → I'''
  409. Translate(H'', v) → H'''
  410. Translate(E', v) → E''
  411. Translate(R'_1, v) → B_5
  412. Translate(Q'_1, v) → C_5
  413. Translate(P'_1, v) → D_5
  414. Translate(A'', v) → A'''
  415. Translate(R_3, v) → E_5
  416. Translate(S_3, v) → F_5
  417. Translate(T_3, v) → G_5
  418. Translate(B'', v) → B'''
  419. Translate(U_3, v) → H_5
  420. Translate(V_3, v) → I_5
  421. Translate(W_3, v) → J_5
  422. Translate(D'', v) → D'''
  423. Translate(V'', v) → V'''
  424. Translate(U'', v) → U'''
  425. Translate(C'', v) → C'''
  426. Translate(L'', v) → L'''
  427. Translate(K'', v) → K'''
  428. Polygon(A''', E_5, U''', C''', L''', K''', F_5, G_5, B''', H_5, I_5, J_5, D''', V''') → poly1''', a''', v''', u''', c''', l''', k''', e_5, f_6, g_5, b''', h_5, i_5, j_5, d'''
  429. Translate(A'_6, Vector[(-w)]) → K_5
  430. Translate(M'_4, Vector[(-w)]) → L_5
  431. Translate(N'_4, Vector[(-w)]) → M_5
  432. Translate(O'_4, Vector[(-w)]) → N_5
  433. Translate(B'_3, Vector[(-w)]) → O_5
  434. Translate(H'_4, Vector[(-w)]) → P_5
  435. Translate(I'_4, Vector[(-w)]) → Q_5
  436. Translate(J'_4, Vector[(-w)]) → R_5
  437. Translate(D'_6, Vector[(-w)]) → S_5
  438. Translate(V'_6, Vector[(-w)]) → T_5
  439. Translate(U'_6, Vector[(-w)]) → U_5
  440. Translate(C'_9, Vector[(-w)]) → V_5
  441. Translate(L'_6, Vector[(-w)]) → W_5
  442. Translate(K'_6, Vector[(-w)]) → Z_5
  443. Polygon(K_5, L_5, U_5, V_5, W_5, Z_5, M_5, N_5, O_5, P_5, Q_5, R_5, S_5, T_5) → poly10, k_6, t_6, u_7, v_7, w_6, z_5, l_6, m_5, n_5, o_5, p_5, q_5, r_5, s_6
  444. Translate(A, u) → A'_{12}
  445. Translate(K, u) → K'_{12}
  446. Translate(L, u) → L'_{12}
  447. Translate(C, u) → C'_{19}
  448. Translate(T, u) → T'_{13}
  449. Translate(S, u) → S'_{13}
  450. Translate(F, u) → F'_{13}
  451. Translate(J', u) → J''
  452. Translate(I', u) → I''_6
  453. Translate(H', u) → H''_6
  454. Translate(D, u) → D'_{13}
  455. Translate(R, u) → R'_7
  456. Translate(Q, u) → Q'_7
  457. Translate(P, u) → P'_7
  458. Polygon(A'_{12}, K'_{12}, D'_{13}, R'_7, Q'_7, P'_7, L'_{12}, C'_{19}, T'_{13}, S'_{13}, F'_{13}, J'', I''_6, H''_6) → poly2', a'_{12}, h''_6, d'_{13}, r'_7, q'_7, p'_7, k'_{12}, l'_{12}, c'_{19}, t'_{13}, s'_{13}, f'_{13}, j'', i''_6
  459. Translate(A'_{12}, v) → A_6
  460. Translate(K'_{12}, v) → B_6
  461. Translate(L'_{12}, v) → C_6
  462. Translate(C'_{19}, v) → D_6
  463. Translate(T'_{13}, v) → E_6
  464. Translate(S'_{13}, v) → F_6
  465. Translate(F'_{13}, v) → G_6
  466. Translate(J'', v) → J'''
  467. Translate(I''_6, v) → H_6
  468. Translate(H''_6, v) → I_6
  469. Translate(D'_{13}, v) → J_6
  470. Translate(R'_7, v) → K_6
  471. Translate(Q'_7, v) → L_6
  472. Translate(P'_7, v) → M_6
  473. Polygon(A_6, B_6, J_6, K_6, L_6, M_6, C_6, D_6, E_6, F_6, G_6, J''', H_6, I_6) → poly2'', a_6, i_6, j_6, k_2, l_4, m_6, b_1, c_3, d_6, e_1, f_2, g_1, j''', h_1
  474. Translate(A_6, Vector[(-u)]) → N_6
  475. Translate(B_6, Vector[(-u)]) → O_6
  476. Translate(C_6, Vector[(-u)]) → P_6
  477. Translate(D_6, Vector[(-u)]) → Q_6
  478. Translate(E_6, Vector[(-u)]) → R_6
  479. Translate(F_6, Vector[(-u)]) → S_6
  480. Translate(G_6, Vector[(-u)]) → T_6
  481. Translate(J''', Vector[(-u)]) → U_6
  482. Translate(H_6, Vector[(-u)]) → V_6
  483. Translate(I_6, Vector[(-u)]) → W_6
  484. Translate(J_6, Vector[(-u)]) → Z_6
  485. Translate(K_6, Vector[(-u)]) → A_7
  486. Translate(L_6, Vector[(-u)]) → B_7
  487. Translate(M_6, Vector[(-u)]) → C_7
  488. Polygon(N_6, O_6, Z_6, A_7, B_7, C_7, P_6, Q_6, R_6, S_6, T_6, U_6, V_6, W_6) → poly2''', n_6, w_1, z_6, a_7, b_7, c_7, o_6, p_6, q_6, r_6, s_3, t_3, u_6, v_6
  489. Translate(N_6, Vector[(-u)]) → D_7
  490. Translate(O_6, Vector[(-u)]) → E_7
  491. Translate(P_6, Vector[(-u)]) → F_7
  492. Translate(Q_6, Vector[(-u)]) → G_7
  493. Translate(R_6, Vector[(-u)]) → H_7
  494. Translate(S_6, Vector[(-u)]) → I_7
  495. Translate(T_6, Vector[(-u)]) → J_7
  496. Translate(U_6, Vector[(-u)]) → K_7
  497. Translate(V_6, Vector[(-u)]) → L_7
  498. Translate(W_6, Vector[(-u)]) → M_7
  499. Translate(Z_6, Vector[(-u)]) → N_7
  500. Translate(A_7, Vector[(-u)]) → O_7
  501. Translate(B_7, Vector[(-u)]) → P_7
  502. Translate(C_7, Vector[(-u)]) → Q_7
  503. Polygon(D_7, E_7, N_7, O_7, P_7, Q_7, F_7, G_7, H_7, I_7, J_7, K_7, L_7, M_7) → poly4, d_7, m_7, n_7, o_7, p_7, q_7, e_7, f_7, g_7, h_7, i_7, j_7, k_7, l_7
  504. Translate(D_7, Vector[(-u)]) → R_7
  505. Translate(E_7, Vector[(-u)]) → S_7
  506. Translate(F_7, Vector[(-u)]) → T_7
  507. Translate(G_7, Vector[(-u)]) → U_7
  508. Translate(H_7, Vector[(-u)]) → V_7
  509. Translate(I_7, Vector[(-u)]) → W_7
  510. Translate(J_7, Vector[(-u)]) → Z_7
  511. Translate(K_7, Vector[(-u)]) → A_8
  512. Translate(L_7, Vector[(-u)]) → B_8
  513. Translate(M_7, Vector[(-u)]) → C_8
  514. Translate(N_7, Vector[(-u)]) → D_8
  515. Translate(O_7, Vector[(-u)]) → E_8
  516. Translate(P_7, Vector[(-u)]) → F_8
  517. Translate(Q_7, Vector[(-u)]) → G_8
  518. Polygon(R_7, S_7, D_8, E_8, F_8, G_8, T_7, U_7, V_7, W_7, Z_7, A_8, B_8, C_8) → poly4', r_7, c_8, d_8, e_8, f_8, g_8, s_7, t_7, u_4, v_4, w_7, z_7, a_8, b_8
  519. Translate(R_7, w) → H_8
  520. Translate(S_7, w) → I_8
  521. Translate(T_7, w) → J_8
  522. Translate(U_7, w) → K_8
  523. Translate(V_7, w) → L_8
  524. Translate(W_7, w) → M_8
  525. Translate(Z_7, w) → N_8
  526. Translate(A_8, w) → O_8
  527. Translate(B_8, w) → P_8
  528. Translate(C_8, w) → Q_8
  529. Translate(D_8, w) → R_8
  530. Translate(E_8, w) → S_8
  531. Translate(F_8, w) → T_8
  532. Translate(G_8, w) → U_8
  533. Polygon(H_8, I_8, R_8, S_8, T_8, U_8, J_8, K_8, L_8, M_8, N_8, O_8, P_8, Q_8) → poly4'', h_8, q_8, r_8, s_8, t_8, u_8, i_8, j_8, k_8, l_8, m_8, n_8, o_8, p_8
  534. Translate(H_8, w) → V_8
  535. Translate(I_8, w) → W_8
  536. Translate(J_8, w) → Z_8
  537. Translate(K_8, w) → A_9
  538. Translate(L_8, w) → B_9
  539. Translate(M_8, w) → C_9
  540. Translate(N_8, w) → D_9
  541. Translate(O_8, w) → E_9
  542. Translate(P_8, w) → F_9
  543. Translate(Q_8, w) → G_9
  544. Translate(R_8, w) → H_9
  545. Translate(S_8, w) → I_9
  546. Translate(T_8, w) → J_9
  547. Translate(U_8, w) → K_9
  548. Polygon(V_8, W_8, H_9, I_9, J_9, K_9, Z_8, A_9, B_9, C_9, D_9, E_9, F_9, G_9) → poly4''', v_8, g_9, h_9, i_9, j_9, k_9, w_8, z_8, a_9, b_9, c_9, d_9, e_9, f_9
  549. Translate(V_8, u) → L_9
  550. Translate(W_8, u) → M_9
  551. Translate(Z_8, u) → N_9
  552. Translate(A_9, u) → O_9
  553. Translate(B_9, u) → P_9
  554. Translate(C_9, u) → Q_9
  555. Translate(D_9, u) → R_9
  556. Translate(E_9, u) → S_9
  557. Translate(F_9, u) → T_9
  558. Translate(G_9, u) → U_9
  559. Translate(H_9, u) → V_9
  560. Translate(I_9, u) → W_9
  561. Translate(J_9, u) → Z_9
  562. Translate(K_9, u) → A_{10}
  563. Polygon(L_9, M_9, V_9, W_9, Z_9, A_{10}, N_9, O_9, P_9, Q_9, R_9, S_9, T_9, U_9) → poly7, l_9, u_9, v_9, w_9, z_9, a_{10}, m_9, n_9, o_9, p_9, q_9, r_9, s_9, t_9
  564. Translate(A_6, Vector[(-w)]) → B_{10}
  565. Translate(B_6, Vector[(-w)]) → C_{10}
  566. Translate(C_6, Vector[(-w)]) → D_{10}
  567. Translate(D_6, Vector[(-w)]) → E_{10}
  568. Translate(E_6, Vector[(-w)]) → F_{10}
  569. Translate(F_6, Vector[(-w)]) → G_{10}
  570. Translate(G_6, Vector[(-w)]) → H_{10}
  571. Translate(J''', Vector[(-w)]) → I_{10}
  572. Translate(H_6, Vector[(-w)]) → J_{10}
  573. Translate(I_6, Vector[(-w)]) → K_{10}
  574. Translate(J_6, Vector[(-w)]) → L_{10}
  575. Translate(K_6, Vector[(-w)]) → M_{10}
  576. Translate(L_6, Vector[(-w)]) → N_{10}
  577. Translate(M_6, Vector[(-w)]) → O_{10}
  578. Polygon(B_{10}, C_{10}, L_{10}, M_{10}, N_{10}, O_{10}, D_{10}, E_{10}, F_{10}, G_{10}, H_{10}, I_{10}, J_{10}, K_{10}) → poly2'''_1, b_{10}, k_{10}, l_{10}, m_{10}, n_{10}, o_{10}, c_{10}, d_{10}, e_{10}, f_{10}, g_{10}, h_{10}, i_{10}, j_{10}
  579. Translate(B_{10}, Vector[(-u)]) → P_{10}
  580. Translate(C_{10}, Vector[(-u)]) → Q_{10}
  581. Translate(D_{10}, Vector[(-u)]) → R_{10}
  582. Translate(E_{10}, Vector[(-u)]) → S_{10}
  583. Translate(F_{10}, Vector[(-u)]) → T_{10}
  584. Translate(G_{10}, Vector[(-u)]) → U_{10}
  585. Translate(H_{10}, Vector[(-u)]) → V_{10}
  586. Translate(I_{10}, Vector[(-u)]) → W_{10}
  587. Translate(J_{10}, Vector[(-u)]) → Z_{10}
  588. Translate(K_{10}, Vector[(-u)]) → A_{11}
  589. Translate(L_{10}, Vector[(-u)]) → B_{11}
  590. Translate(M_{10}, Vector[(-u)]) → C_{11}
  591. Translate(N_{10}, Vector[(-u)]) → D_{11}
  592. Translate(O_{10}, Vector[(-u)]) → E_{11}
  593. Polygon(P_{10}, Q_{10}, B_{11}, C_{11}, D_{11}, E_{11}, R_{10}, S_{10}, T_{10}, U_{10}, V_{10}, W_{10}, Z_{10}, A_{11}) → poly8, p_{10}, a_{11}, b_{11}, c_{11}, d_{11}, e_{11}, q_{10}, r_{10}, s_{10}, t_{10}, u_{10}, v_{10}, w_{10}, z_{10}
  594. Translate(P_{10}, Vector[(-u)]) → F_{11}
  595. Translate(Q_{10}, Vector[(-u)]) → G_{11}
  596. Translate(R_{10}, Vector[(-u)]) → H_{11}
  597. Translate(S_{10}, Vector[(-u)]) → I_{11}
  598. Translate(T_{10}, Vector[(-u)]) → J_{11}
  599. Translate(U_{10}, Vector[(-u)]) → K_{11}
  600. Translate(V_{10}, Vector[(-u)]) → L_{11}
  601. Translate(W_{10}, Vector[(-u)]) → M_{11}
  602. Translate(Z_{10}, Vector[(-u)]) → N_{11}
  603. Translate(A_{11}, Vector[(-u)]) → O_{11}
  604. Translate(B_{11}, Vector[(-u)]) → P_{11}
  605. Translate(C_{11}, Vector[(-u)]) → Q_{11}
  606. Translate(D_{11}, Vector[(-u)]) → R_{11}
  607. Translate(E_{11}, Vector[(-u)]) → S_{11}
  608. Polygon(F_{11}, G_{11}, P_{11}, Q_{11}, R_{11}, S_{11}, H_{11}, I_{11}, J_{11}, K_{11}, L_{11}, M_{11}, N_{11}, O_{11}) → poly8', f_{11}, o_{11}, p_{11}, q_{11}, r_{11}, s_{11}, g_{11}, h_{11}, i_{11}, j_{11}, k_{11}, l_{11}, m_{11}, n_{11}
  609. Translate(A'_4, w) → T_{11}
  610. Translate(M'_3, w) → U_{11}
  611. Translate(N'_3, w) → V_{11}
  612. Translate(O'_3, w) → W_{11}
  613. Translate(B'_2, w) → Z_{11}
  614. Translate(H'_3, w) → A_{12}
  615. Translate(I'_3, w) → B_{12}
  616. Translate(J'_3, w) → C_{12}
  617. Translate(D'_4, w) → D_{12}
  618. Translate(V'_4, w) → E_{12}
  619. Translate(U'_4, w) → F_{12}
  620. Translate(C'_6, w) → G_{12}
  621. Translate(L'_4, w) → H_{12}
  622. Translate(K'_4, w) → I_{12}
  623. Polygon(T_{11}, U_{11}, F_{12}, G_{12}, H_{12}, I_{12}, V_{11}, W_{11}, Z_{11}, A_{12}, B_{12}, C_{12}, D_{12}, E_{12}) → poly9, t_{11}, e_{12}, f_{12}, g_{12}, h_{12}, i_{12}, u_{11}, v_{11}, w_{11}, z_{11}, a_{12}, b_{12}, c_{12}, d_{12}
  624. Translate(D'_9, w) → J_{12}
  625. Translate(P''_3, w) → K_{12}
  626. Translate(Q''_3, w) → L_{12}
  627. Translate(R''_3, w) → M_{12}
  628. Translate(G'_3, w) → N_{12}
  629. Translate(O''_3, w) → O_{12}
  630. Translate(N''_3, w) → P_{12}
  631. Translate(M''_3, w) → Q_{12}
  632. Translate(F'_9, w) → R_{12}
  633. Translate(S'_9, w) → S_{12}
  634. Translate(T'_9, w) → T_{12}
  635. Translate(C'_{15}, w) → U_{12}
  636. Translate(U'_9, w) → V_{12}
  637. Translate(V'_9, w) → W_{12}
  638. Polygon(J_{12}, K_{12}, T_{12}, U_{12}, V_{12}, W_{12}, L_{12}, M_{12}, N_{12}, O_{12}, P_{12}, Q_{12}, R_{12}, S_{12}) → poly11, j_{12}, s_{12}, t_{12}, u_{12}, v_{12}, w_{12}, k_{12}, l_{12}, m_{12}, n_{12}, o_{12}, p_{12}, q_{12}, r_{12}
  639. Translate(D'_3, u) → Z_{12}
  640. Translate(P''_1, u) → A_{13}
  641. Translate(Q''_1, u) → B_{13}
  642. Translate(R''_1, u) → C_{13}
  643. Translate(G'_1, u) → D_{13}
  644. Translate(O''_1, u) → E_{13}
  645. Translate(N''_1, u) → F_{13}
  646. Translate(M''_1, u) → G_{13}
  647. Translate(F'_2, u) → H_{13}
  648. Translate(S'_2, u) → I_{13}
  649. Translate(T'_2, u) → J_{13}
  650. Translate(C'_4, u) → K_{13}
  651. Translate(U'_3, u) → L_{13}
  652. Translate(V'_3, u) → M_{13}
  653. Polygon(Z_{12}, A_{13}, J_{13}, K_{13}, L_{13}, M_{13}, B_{13}, C_{13}, D_{13}, E_{13}, F_{13}, G_{13}, H_{13}, I_{13}) → poly12, z_{12}, i_{13}, j_{13}, k_{13}, l_{13}, m_{13}, a_{13}, b_{13}, c_{13}, d_{13}, e_{13}, f_{13}, g_{13}, h_{13}
  654. Translate(A'_7, w) → N_{13}
  655. Translate(M'_5, w) → O_{13}
  656. Translate(N'_5, w) → P_{13}
  657. Translate(O'_5, w) → Q_{13}
  658. Translate(B'_4, w) → R_{13}
  659. Translate(H'_5, w) → S_{13}
  660. Translate(I'_5, w) → T_{13}
  661. Translate(J'_5, w) → U_{13}
  662. Translate(D'_7, w) → V_{13}
  663. Translate(V'_7, w) → W_{13}
  664. Translate(U'_7, w) → Z_{13}
  665. Translate(C'_{10}, w) → A_{14}
  666. Translate(L'_7, w) → B_{14}
  667. Translate(K'_7, w) → C_{14}
  668. Polygon(N_{13}, O_{13}, Z_{13}, A_{14}, B_{14}, C_{14}, P_{13}, Q_{13}, R_{13}, S_{13}, T_{13}, U_{13}, V_{13}, W_{13}) → poly13, n_{13}, w_{13}, z_{13}, a_{14}, b_{14}, c_{14}, o_{13}, p_{13}, q_{13}, r_{13}, s_{13}, t_{13}, u_{13}, v_{13}
  669. Translate(D'_{12}, w) → D_{14}
  670. Translate(P''_6, w) → E_{14}
  671. Translate(Q''_6, w) → F_{14}
  672. Translate(R''_6, w) → G_{14}
  673. Translate(G'_6, w) → H_{14}
  674. Translate(O''_6, w) → I_{14}
  675. Translate(N''_6, w) → J_{14}
  676. Translate(M''_6, w) → K_{14}
  677. Translate(F'_{12}, w) → L_{14}
  678. Translate(S'_{12}, w) → M_{14}
  679. Translate(T'_{12}, w) → N_{14}
  680. Translate(C'_{18}, w) → O_{14}
  681. Translate(U'_{12}, w) → P_{14}
  682. Translate(V'_{12}, w) → Q_{14}
  683. Polygon(D_{14}, E_{14}, N_{14}, O_{14}, P_{14}, Q_{14}, F_{14}, G_{14}, H_{14}, I_{14}, J_{14}, K_{14}, L_{14}, M_{14}) → poly14, d_{14}, m_{14}, n_{14}, o_{14}, p_{14}, q_{14}, e_{14}, f_{14}, g_{14}, h_{14}, i_{14}, j_{14}, k_{14}, l_{14}
  684. Translate(V_8, w) → R_{14}
  685. Translate(W_8, w) → S_{14}
  686. Translate(Z_8, w) → T_{14}
  687. Translate(A_9, w) → U_{14}
  688. Translate(B_9, w) → V_{14}
  689. Translate(C_9, w) → W_{14}
  690. Translate(D_9, w) → Z_{14}
  691. Translate(E_9, w) → A_{15}
  692. Translate(F_9, w) → B_{15}
  693. Translate(G_9, w) → C_{15}
  694. Translate(H_9, w) → D_{15}
  695. Translate(I_9, w) → E_{15}
  696. Translate(J_9, w) → F_{15}
  697. Translate(K_9, w) → G_{15}
  698. Polygon(R_{14}, S_{14}, D_{15}, E_{15}, F_{15}, G_{15}, T_{14}, U_{14}, V_{14}, W_{14}, Z_{14}, A_{15}, B_{15}, C_{15}) → poly15, r_{14}, c_{15}, d_{15}, e_{15}, f_{15}, g_{15}, s_{14}, t_{14}, u_{14}, v_{14}, w_{14}, z_{14}, a_{15}, b_{15}

AI Drawing Prompt Reference

Draw a three-piece hexagonal tessellation to demonstrate the combination and transformation of shapes through polygon construction, vector operations, and translation transformations. Start by creating several base vectors, then use these vectors for translation operations to generate multiple vertices. Next, draw several hexagons based on these vertices, arranging them into a continuous tessellation pattern to showcase the beauty of spatial geometry and tiling patterns.
The prompt above was compiled from the original drawing commands and is for reference only.